Kim: Exercise 3.1.R (Tensors)

An interesting exercise from D. Kim, A rough guide to linear algebra

July 31, 2025 · 2 min · Pantelis Sopasakis

Tensor trace

In this post we will look at the familiar trace operation in the context of tensors

July 31, 2025 · 4 min · Pantelis Sopasakis

Nonlinear model predictive control for autonomous navigation of small-scale cars

Discussion of design and simulation results of NMPC controlled small-scale car

December 1, 2024 · 18 min · NVS Chandra Mouli G

PDF of (X, X)

The PDF of (X, X) does not exist… in the ordinary sense

September 29, 2024 · 4 min · Pantelis Sopasakis

Notes on PCA

Making sense of PCA

May 5, 2024 · 11 min · Pantelis Sopasakis

Tensor product via universality

Here we look at the universality-based definition of the tensor product

February 28, 2024 · 3 min · Pantelis Sopasakis

Making sense of tensors and tensor products

We are trying to make sense of tensors and the tensor product of vector spaces

February 16, 2024 · 17 min · Pantelis Sopasakis

Estimation Crash Course IV: Sufficient Statistics

Sufficient statistics

August 31, 2023 · 4 min · Pantelis Sopasakis

Estimation Crash Course III: Cramér-Rao bound

The Cramér-Rao Bound is a lower bound on the variance of an unbiased estimator. Here we focus on one-parameter models.

August 29, 2023 · 4 min · Pantelis Sopasakis

Estimation Crash Course II: Fisher information

Introduction of the notion of Fisher information: a quantity of central importance in statistics.

August 23, 2023 · 8 min · Pantelis Sopasakis